Review: Uri Abraham, Aronszajn Trees on $mathscr{N}2$ and $mathscr{N}3$; James Cummings, Matthew Foreman, The Tree Property; Menachem Magidor, Saharon Shelah, The Tree Property at Successors of Singular Cardinals [Book Review]

Bulletin of Symbolic Logic 7 (2):283-285 (2001)
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10.1017/s1079898600005916

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Review: James E. Baumgartner, Generic Graph Construction; Matthew Foreman, Richard Laver, Some Downwards Transfer Properties for $mathscr{N}_2$; Saharon Shelah, A. Baker, B. Bollobas, A. Hajnal, Incompactness for Chromatic Numbers of Graphs. [REVIEW]Péter Komjáth - 2001 - Bulletin of Symbolic Logic 7 (4):539-541.
Reviewed Work: Recent papers on the tree property. Aronszajn trees and failure of the Singular Cardinal Hypothesis. Journal of Mathematical Logic, vol. 9, no. 1 , The tree property at ℵ ω+1. Journal of Symbolic Logic, vol. 77, no. 1 , The tree property and the failure of SCH at uncountable confinality. Archive for Mathematical Logic, vol. 51, no. 5-6 , The tree property and the failure of the Singular Cardinal Hypothesis at [image]. Journal of Symbolic Logic, vol. 77, no. 3 , Aronszajn trees and the successors of a singular cardinal. Archive for Mathematical Logic, vol. 52, no. 5-6 , The tree property up to ℵ ω+1. Journal of Symbolic Logic. vol. 79, no. 2 by Itay Neeman; Dima Sinapova; Spencer Unger. [REVIEW]Review by: James Cummings - 2015 - Bulletin of Symbolic Logic 21 (2):188-192.
Aronszajn trees and the successors of a singular cardinal.Spencer Unger - 2013 - Archive for Mathematical Logic 52 (5-6):483-496.
Aronszajn trees and failure of the singular cardinal hypothesis.Itay Neeman - 2009 - Journal of Mathematical Logic 9 (1):139-157.
The tree property at successors of singular cardinals.Menachem Magidor & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):385-404.
The tree property at ℵ ω+1.Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (1):279-290.
The tree property at [image].Dima Sinapova - 2012 - Journal of Symbolic Logic 77 (1):279 - 290.
Arthur W. Apter. On the least strongly compact cardinal. Israel journal of mathematics, vol. 35 , pp. 225–233. - Arthur W. Apter. Measurability and degrees of strong compactness. The journal of symbolic logic, vol. 46 , pp. 249–254. - Arthur W. Apter. A note on strong compactness and supercompactness. Bulletin of the London Mathematical Society, vol. 23 , pp. 113–115. - Arthur W. Apter. On the first n strongly compact cardinals. Proceedings of the American Mathematical Society, vol. 123 , pp. 2229–2235. - Arthur W. Apter and Saharon Shelah. On the strong equality between supercompactness and strong compactness.. Transactions of the American Mathematical Society, vol. 349 , pp. 103–128. - Arthur W. Apter and Saharon Shelah. Menas' result is best possible. Ibid., pp. 2007–2034. - Arthur W. Apter. More on the least strongly compact cardinal. Mathematical logic quarterly, vol. 43 , pp. 427–430. - Arthur W. Apter. Laver indestructibility and the class of compact cardinals. The journal of sy. [REVIEW]James W. Cummings - 2000 - Bulletin of Symbolic Logic 6 (1):86-89.
The Strong and Super Tree Properties at Successors of Singular Cardinals.William Adkisson - forthcoming - Journal of Symbolic Logic:1-33.
Itay Neeman. Aronszajn trees and failure of the Singular Cardinal Hypothesis. Journal of Mathematical Logic, vol. 9, no. 1 , pp. 139–157. - Dima Sinapova. The tree property at אּω+1. Journal of Symbolic Logic, vol. 77, no. 1 , pp. 279–290. - Dima Sinapova. The tree property and the failure of SCH at uncountable cofinality. Archive for Mathematical Logic, vol. 51, no. 5-6 , pp. 553–562. - Dima Sinapova. The tree property and the failure of the Singular Cardinal Hypothesis at אּω2. Journal of Symbolic Logic, vol. 77, no. 3 , pp. 934–946. - Spencer Unger. Aronszajn trees and the successors of a singular cardinal. Archive for Mathematical Logic, vol. 52, no. 5-6 , pp. 483–496. - Itay Neeman. The tree property up to אּω+1. Journal of Symbolic Logic. vol. 79, no. 2 , pp. 429–459. [REVIEW]James Cummings - 2015 - Bulletin of Symbolic Logic 21 (2):188-192.

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Aronszajn trees on ℵ2 and ℵ3.Uri Abraham - 1983 - Annals of Mathematical Logic 24 (3):213-230.
Aronszajn trees on [aleph]2 and [aleph]3.Uri Abraham - 1983 - Annals of Mathematical Logic 24 (3):213.

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